We've had ours for about six months now, so I'm sure there are new and better ones out there, but:
We are very happy with our Nikon CoolPix 3700. It is small and tough and takes good pictures. Make sure you get a camera with a metal case. Some other cameras have an outer shell that looks like metal but it is really made of plastic. We have dropped ours (metal case) many times and it is still in great shape. I don't even bother carrying it in a special camera pouch. It just goes in my pocket or in the backpack.
It also has many options, but I mostly use it to point and shoot. It comes with a special rechargeable battery and charger, so you never have to worry about buying new batteries. It comes with a wimpy sized memory card, but they all do. I've bought a 512 MB compact flash card and now I can store over 600 pictures and also take movie clips. That is just about right for a trip to Disney!
Oh yeah, the list price of this camera is over your listed price range, but when we bought ours they had a major rebate offer going. Shop around on line and get the best price.